A real estate agent wants to determine the factors that influence house prices in Adelaide. A random sample of 200 houses was selected to estimate the multiple regression model: y =B₁ + B₁x₁ + B₂log(x₂) + B3X3 + B4x4 + B5X5 + U Where, y = House price (in $10,000s). x₁ = Distance from the city center (in kilometers). x₂ = Number of bedrooms. x3 = Age of the house (in years). x₁= Dummy variable equal to 1 if the house has a backyard. x= Proxy for the quality of the neighborhoods' schools The estimation results are shown below when excluding x, and xs of the regression (Model 1) and when including them (Model 2). Standard errors are in parentheses. Explanatory Variables Model 1 Model 2 Bo B₁ B₂ B3 B₁ Bs N SSR SST 25.3 (10.7) -0.032 (0.009) 15.1 (2.3) -1.8 (0.5) 100 432 798 20.1 (15.2) -0.028 (0.001) 12.4 (1.8) -1.5 (0.6) 5.2 (2.1) 4.6 (1.9) 100 390 798 (a) Write down the Sample Regression Function (SRF) for Model 1 in an equation form and interpret each of the estimated slope coefficients.

The applet displays a scatterplot with the following points: (7,10),(27,35),(24,25),(8,12),(10,19),(15,22). Identify the slope of the regression line, intercept of the regression line, and correlation coefficient. Report your answers accurate to within two decimal places.

The equation used to predict college GPA (range 0-4.0) is y = 0.17 +0.51x, +0.002x,, where x, is high school GPA (range 0-4.0) and x, is college board score (range 200-800). Use the multiple regression equation to predict college GPA for a high school GPA of 3.8 and a college board score of 500. The predicted college GPA for a high school GPA of 3.8 and a college board score of 500 is (Round to the nearest tenth as needed.)

you take a bar of soap and weigh it after each shower.  will the regression line be positive or negative

The slope of a regression line tells you how much or little a change in your dependent variable impacts your independent variable. O TrueO False

What are the interpretations of the Y intercept and the slopes in a multiple regression model?

A biologist wants to predict the height of male giraffes, y, in feet, given their age, x1, in years, weight, x2, in pounds, and neck length, x3, in feet. She obtains the multiple regression equation yˆ=7.36+0.00895x1+0.000426x2+0.913x3. Predict the height of a 12-year-old giraffe that weighs 3,100 pounds and has a 7-foot-long neck, rounding to the nearest foot.

Would the regression in Equation be useful for predicting test scoresin a school district in Massachusetts? Why or why not?

The accompanying table shows results from regressions performed on data from a random sample of 21 cars. The response (y) variable is CITY (fuel consumption in mi/gal). The predictor (x) variables are WT (weight in pounds), DISP (engine displacement in liters), and HWY (highway fuel consumption in mi/gal). Which regression equation is best for predicting city fuel consumption? Why? Click the icon to view the table of regression equations. Choose the correct answer below. A. The equation CITY=6.86 -0.00131WT -0.258DISP+0.659HWY is best because it has a low P-value and the highest value of R². B. The equation CITY=6.73 -0.00157WT +0.668HWY is best because it has a low P-value and the highest adjusted value of R². C. The equation CITY= -3.15+0.823HWY is best because it has a low P-value and its R² and adjusted R² values are comparable to the R² and adjusted R² values of equations with more predictor variables. O D. The equation CITY=6.86 -0.00131WT-0.258DISP + 0.659HWY is best because it…

There is a linear relationship between the number of chirps made by the stiped ground cricket and the air temperature. It was determined that the linear regression model is: y = 25.2 + 3.3x where x is the number of chirps per minute and y is the estimated temperature in degrees Fahrenheit. What is the predicted number of chirps made when the temperature is 60 degrees Fahrenheit? Round to the nearest integer. Do not include units.